Skip to main content
Log in

A comparison of techniques for solving the fleet size and mix vehicle routing problem

  • Theoretical Papers
  • Published:
Operations-Research-Spektrum Aims and scope Submit manuscript

Summary

In the fleet size and mix vehicle routing problem, one decides upon the composition and size of a possibly heterogeneous fleet of vehicles so as to minimize the sum of fixed vehicle acquisition costs and routing costs for customer deliveries. This paper reviews some existing heuristics for this problem as well as a lower bound procedure. Based on the latter, a new heuristic is presented. Computational results are provided for a number of benchmark problems in order to compare the performance of the different solution methods.

Zusammenfassung

Das Problem der Bestimmung einer optimalen Anzahl von möglicherweise verschiedenen Fahrzeugen in einem Fuhrpark sowie die bestmögliche Zusammensetzung verschiedener Fahrzeuge bei der Tourenplanung, wobei die Fixkosten der Beschaffung und die Kosten für die laufende Unterhaltung der Routen minimiert werden soll, wird diskutiert. Einige bekannte Heuristiken und ein Algorithmus zur Bestimmung einer unteren Schranke werden besprochen. Mit diesen Grundlagen wird eine neue Heuristik vorgeschlagen. Um die Leistungsfähigkeit der verschiedenen Lösungsmethoden zu vergleichen, werden anschließend Rechenergebnisse verschiedener benchmark Probleme vorgestellt.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bodin L, Golden B, Assad A, Ball M (1983) Routing and scheduling of vehicles and crews — The state of the art. Comput Oper Res 10:63–212

    Article  Google Scholar 

  2. Clarke G, Wright J (1964) Scheduling of vehicles from a central depot to a number of delivery points. Oper Res 12:568–581

    Article  Google Scholar 

  3. Fisher M, Jaikumar R (1981) A generalized assignment heuristic for vehicle routing. Networks 11:109–124

    Article  Google Scholar 

  4. Fisher M, Jaikumar R, Van Wassenhove L (1981) A multiplier adjustment method for the generalized assignment problem. Decision Sciences Working Paper, University of Pennsylvania

  5. Gheysens F, Golden B, Assad A (1983) A relaxation heuristic for the fleet size and mix vehicle routing problem. Proceedings of SE AIDS Meeting, Williamsburg, Virginia

  6. Golden B, Assad A, Levy L, Gheysens F (1984) The fleet size and mix vehicle routing problem. Comput Oper Res 11:49–66

    Article  Google Scholar 

  7. Golden B, Bodin L, Doyle T, Stewart W (1980) Approximate traveling salesman algorithms. Oper Res 28:694–711

    Article  Google Scholar 

  8. Golden B, Magnanti T, Nguyen H (1977) Implementing vehicle routing algorithms. Networks 7:113–148

    Article  Google Scholar 

  9. Golden B, Stewart W (1983) The empirical analysis of TSP heuristics. MS/S Working Paper 83-016, University of Maryland

  10. Or I (1976) Traveling salesman-type combinatorial problems and their relation to the logistics of regional blood banking. Doctoral Dissertation, Northwestern University

  11. Ross G, Soland R (1975) A branch and bound algorithm for the generalized assignment problem. Math Prog 8:91–105

    Article  Google Scholar 

  12. Stewart W, Golden B (1984) A lagrangean relaxation heuristic for vehicle routing. Eur J Oper Res 15:84–88

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gheysens, F., Golden, B. & Assad, A. A comparison of techniques for solving the fleet size and mix vehicle routing problem. OR Spektrum 6, 207–216 (1984). https://doi.org/10.1007/BF01720070

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01720070

Keywords

Navigation